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Chiral corrections to the 1⁻⁺ exotic meson mass

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arxiv 1603.06367 v4 pith:E6B7SWBC submitted 2016-03-21 hep-ph hep-lat

Chiral corrections to the $1^{-+}$ exotic meson mass

classification hep-ph hep-lat
keywords chiralcorrectionsexoticmassinfraredlatticemesonconstruct
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We first construct the effective chiral Lagrangians for the $1^{-+}$ exotic mesons. With the infrared regularization scheme, we derive the one-loop infrared singular chiral corrections to the $\pi_1(1600)$ mass explicitly. We investigate the variation of the different chiral corrections with the pion mass under two schemes. Hopefully, the explicit non-analytical chiral structures will be helpful to the chiral extrapolation of the lattice data from the dynamical lattice QCD simulation of either the exotic light hybrid meson or tetraquark state.

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